Results 61 to 70 of about 5,227,416 (263)

Two-Weight Extrapolation on Lorentz Spaces

Journal of Function Spaces, 2015
We give several two-weight extrapolation theorems on Lorentz spaces which extend the results of Cruz-Uribe and Pérez (2000) and some applications for the singular integral operators, the potential type operators, and commutators.
Wenming Li, Tingting Zhang, Limei Xue
doaj   +1 more source

A regularity criterion of 3D magneto-micropolar equations with the pressure term [PDF]

Mathematica Bohemica
This work focuses on the 3D incompressible magneto-micropolar (MMP) equations with the mixed pressure-velocity-magnetic field in view of Lorentz spaces. Also, we generalize some known results to MMP equations in view of Besov spaces.
Jae-Myoung Kim
doaj   +1 more source

Resolving Complex Multiscale Structure of Magneto‐ and Electroactive Polymer Composites With an Ionic Liquid

Advanced Materials, EarlyView.
Multiscale ionic liquid segregation into nano‐sized domains in the unconfined amorphous polymer phase and into micron‐sized pores enables a coupled magneto‐ and electroactive responses. ABSTRACT A multiscale understanding of the structure of ionogels – nanoparticle‐free polymer composites incorporating ionic liquids – is essential for enhancing their ...
Andrey Shibaev, Jon Maiz, Viktor Petrenko, Amaia Iturrospe, Josu Fernández Maestu, José María Porro, Mariano Barrado, Laura Casado, Joachim Kohlbrecher, Petr Shvets, Evgeny Modin, Ana Sofia Castro, Andrey Chuvilin, José María De Teresa, Daniela M. Correia, Arantxa Arbe, Senentxu Lanceros‐Méndez   +16 more
wiley   +1 more source

MEASURE OF NON-COMPACTNESS IN THE LORENTZ SPACES

Научный вестник МГТУ ГА, 2016
Geometric characteristics of regular spaces are determined. Examples of regular spaces are the Lebesgue and Lorentz spaces, in particular. For the Lorentz spaces an inequality for arbitrary subsets, connecting the measures of noncompactness and are ...
N. A. Erzakova
doaj  

Science‐Towards‐Technology Breakthrough in CO2 Electroreduction: Multiphysics, Multiscale, and Artificial Intelligence Insights

Advanced Materials, EarlyView.
Electrochemical CO2RR is a key technology for converting CO2 into chemicals, but there remains a gap between “laboratory science” and “engineering practice” in current research. This review establishes a multi‐scale research framework, encompassing atomic‐level characterization, microenvironment regulation, external field‐assisted optimization, and AI ...
Ping Hong, Changfan Xu, Huaping Zhao, Yong Lei   +3 more
wiley   +1 more source

Estimations of the best M-term approximations of functions in the Lorentz space with constructive methods

Қарағанды университетінің хабаршысы. Математика сериясы, 2017
This paper considers the Lorentz space of periodic functions of many variables with the anisotropic norm, of functional Nikol’skii-Besov’s class and of the best M -term approximation of function.
G. Akishev
doaj   +1 more source

Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings

Advanced Materials, EarlyView.
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen, Dongsheng Song, Filipp N. Rybakov, Nikolai S. Kiselev, Long Li, Wen Shi, Rui Wu, Xuewen Fu, Olle Eriksson, Stefan Blügel, Rafal E. Dunin‐Borkowski, Haifeng Du, Fengshan Zheng   +12 more
wiley   +1 more source

Weighted Lorentz Spaces, Variable Exponent Analysis, and Operator Extensions

Axioms
We develop novel extensions in the theory of weighted Lorentz spaces. In particular, we generalize classical results by introducing variable-exponent Lorentz spaces, establish sharp constants and quantitative bounds for maximal operators, and extend the ...
Saeed Hashemi Sababe, Ismail Nikoufar
doaj   +1 more source

Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part

Advances in Nonlinear Analysis, 2022
Let n≥2n\ge 2 and Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} be a bounded nontangentially accessible domain. In this article, the authors investigate (weighted) global gradient estimates for Dirichlet boundary value problems of second-order elliptic equations
Yang Sibei, Yang Dachun, Yuan Wen
doaj   +1 more source

Chirality Transfer via Orientational Order of Micellar Assemblies on Gold Nanocrystals

Advanced Materials, EarlyView.
A mechanism for chiral growth of Au nanocrystals mediated by orientational order of chiral micelles at seed surfaces is demonstrated. 3D electron microscopy and molecular dynamics simulations reveal how alignment of the micelles along crystal directions and torsion–orientation coupling govern chirality transfer, providing a framework to rationalize ...
Robin Girod, Kyle Van Gordon, Fahim Faraji, Mikhail Mychinko, Francisco Bevilacqua, Cem Sevik, Milorad V. Milošević, Luis M. Liz‐Marzán, Sara Bals   +8 more
wiley   +1 more source